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Finding the Fourth Proportional to 311,701.20, 467,551.80 and 249,493.20

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Solution

The fourth proportional to 311,701.20, 467,551.80 and 249,493.20 is: 374,239.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,701.20 : 467,551.80 = 249,493.20 : x
  2. Step 2: Convert to fraction form
    311,701.20/467,551.80 = 249,493.20/x
  3. Step 3: Cross multiply
    311,701.20x = 467,551.80 × 249,493.20
  4. Step 4: Simplify right side
    311,701.20x = 116,650,994,747.76
  5. Step 5: Solve for x
    x = 116,650,994,747.76/311,701.20
  6. Step 6: Final answer
    x = 374,239.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.